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Finding the Fourth Proportional to 71,849.74, 107,732.31 and 27,479.74

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Solution

The fourth proportional to 71,849.74, 107,732.31 and 27,479.74 is: 41,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,849.74 : 107,732.31 = 27,479.74 : x
  2. Step 2: Convert to fraction form
    71,849.74/107,732.31 = 27,479.74/x
  3. Step 3: Cross multiply
    71,849.74x = 107,732.31 × 27,479.74
  4. Step 4: Simplify right side
    71,849.74x = 2,960,455,868.40
  5. Step 5: Solve for x
    x = 2,960,455,868.40/71,849.74
  6. Step 6: Final answer
    x = 41,203.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.